A random sample of 100 undergraduate students at a university found that 78 of them had used the university librarys website to find resources for a class. What is the margin of error for the true proportion of all undergraduates who had used the librarys website to find resources for a class?

a 0.04

b 0.08

c 0.1

d 0.12 @amistre64

Question

A random sample of 100 undergraduate students at a university found that 78 of them had used the university librarys website to find resources for a class. What is the margin of error for the true proportion of all undergraduates who had used the librarys website to find resources for a class?

a    0.04

b    0.08

c    0.1

d   0.12 @amistre64

amistre64 · Answer

z(SE) sounds familiar

amistre64 · Answer

how would you propose we find the standard error using the information provided?

anonymous · Answer

With a formula?

amistre64 · Answer

well, the results create a formula yes :)  what do you think (right or wrong) the formula for the standard error will be?  give it a shot

anonymous · Answer

I used the margin of error formula and I am getting answer a 0.04.

amistre64 · Answer

78(22)
-----
100^3


sqrted, yeah, me too.

the thing is that is not the margin of error, it is the standard deviation of the distribution of the sample means.

the margin of error requires us to use a z value multiplied to it.

assuming z=1, then the margin of error is ,04